{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Active Subspaces Example Function: Circuit Voltage\n",
    "\n",
    "##### Ryan Howard, CO School of Mines, <ryhoward@mines.edu>\n",
    "##### Paul Constantine, CO School of Mines, <pconstan@mines.edu>\n",
    "\n",
    "<br>\n",
    "\n",
    "In this tutorial, we'll be applying active subspaces to the function\n",
    "\n",
    "$$\n",
    "V_m = \\frac{(V_{b1}+0.74)\\beta(R_{c2}+9)}{\\beta(R_{c2}+9)+R_f}+\\frac{11.35R_f}{\\beta(R_{c2}+9)+R_f}+\\frac{0.74R_f\\beta(R_{c2}+9)}{R_{c1}(\\beta(R_{c2}+9)+R_f)},\n",
    "$$\n",
    "\n",
    "where $V_{b1} = 12R_{b2}/(R_{b1}+R_{b2})$, as seen on [http://www.sfu.ca/~ssurjano/otlcircuit.html](http://www.sfu.ca/~ssurjano/otlcircuit.html). This function models the midpoint voltage of a transformerless push-pull circuit, and its inputs and their distributions are described in the table below.\n",
    "\n",
    "Variable|Symbol|Distribution (U(min, max))\n",
    ":-----|:-----:|:-----\n",
    "resistance b1|$R_{b1}$|U(50, 150)\n",
    "resistance b2|$R_{b2}$|U(25, 70)\n",
    "resistance f|$R_f$|U(.5, 3)\n",
    "resistance c1|$R_{c1}$|U(1.2, 2.5)\n",
    "resistance c2|$R_{c2}$|U(.25, 1.2)\n",
    "current gain|$\\beta$|U(50, 300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import active_subspaces as ac\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "\n",
    "# The otlcircuit_functions.py file contains two functions: the circuit function (circuit(xx))\n",
    "# and its gradient (circuit_grad(xx)). Each takes an Mx6 matrix (M is the number of data\n",
    "# points) with rows being normalized inputs; circuit returns a column vector of function\n",
    "# values at each row of the input and circuit_grad returns a matrix whose ith row is the\n",
    "# gradient of circuit at the ith row of xx with respect to the normalized inputs\n",
    "from otlcircuit_functions import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we draw M samples randomly from the input space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "M = 1000 #This is the number of data points to use\n",
    "\n",
    "#Sample the input space according to the distributions in the table above\n",
    "Rb1 = np.random.uniform(50, 150, (M, 1))\n",
    "Rb2 = np.random.uniform(25, 70, (M, 1))\n",
    "Rf = np.random.uniform(.5, 3, (M, 1))\n",
    "Rc1 = np.random.uniform(1.2, 2.5, (M, 1))\n",
    "Rc2 = np.random.uniform(.25, 1.2, (M, 1))\n",
    "beta = np.random.uniform(50, 300, (M, 1))\n",
    "\n",
    "#the input matrix\n",
    "x = np.hstack((Rb1, Rb2, Rf, Rc1, Rc2, beta))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we normalize the inputs, linearly scaling each to the interval $[-1, 1]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Upper and lower limits for inputs\n",
    "xl = np.array([50, 25, .5, 1.2, .25, 50])\n",
    "xu = np.array([150, 70, 3, 2.5, 1.2, 300])\n",
    "\n",
    "#XX = normalized input matrix\n",
    "XX = ac.utils.misc.BoundedNormalizer(xl, xu).normalize(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute gradients to approximate the matrix on which the active subspace is based."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#output values (f) and gradients (df)\n",
    "f = circuit(XX)\n",
    "df = circuit_grad(XX)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we use our data to compute the active subspace."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Set up our subspace using the gradient samples\n",
    "ss = ac.subspaces.Subspaces()\n",
    "ss.compute(df=df, nboot=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use plotting utilities to plot eigenvalues, subspace error, components of the first 2 eigenvectors, and 1D and 2D sufficient summary plots (plots of function values vs. active variable values)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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5cmWeeOIJ9u7dS79+/Zg5cyYTJkygQYMGzJo1i0GDBlGlShUOHjzIli1bCAoK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\nb3fHrc+zAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cf8c790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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atYv4+H/+3kj5YEiZ6J2T4/j4+NSFvQsUKEDjxo1p164dSimbXN8ex7b8+eXY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\nMv4X1he+uwgHWcgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11026c410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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069ePY8eOuR1OjeL1eivVPj8/v5oiMcZEihU7F2VkZHDSSSfx9NNPh7Xfzp07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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112e95690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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X11FaOoxQ6F3EWU1CHNBC26ps5+2tQjR455B62OzpSAg1HtORgpu5SI/PWiCf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\nvgX2Q9T6263AmfTJc30c8AfgRjQwJXe1Fa2B8QTZti0z+ST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jq6oWu5qaye7WW+/rlHxx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\nYRgVgyk9wzAMo2IwpWcYhmFUDP8P0xRZa9Y2lz8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b335d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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x8iRaDXJ44tgAKtdL64zMzASfzvEm4nYKNVubk5gSy4Gbq+n1R0mmR7Xml4iW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ZDAoFFlXL5PLWXnhvxkwdD9pNQlWnGiovIeyj9b8gHis2oTHC6MlTOHny5MvPy7uCFywYA/Xb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\nf4UpxjOGOMVMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1132ec850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Component labels\n",
    "in_labels = ['Rb1', 'Rb2', 'Rf', 'Rc1', 'Rc2', 'beta']\n",
    "\n",
    "#plot eigenvalues, subspace errors\n",
    "ac.utils.plotters.eigenvalues(ss.eigenvals, ss.e_br)\n",
    "ac.utils.plotters.subspace_errors(ss.sub_br)\n",
    "\n",
    "#manually make the subspace 2D for the eigenvector and 2D summary plots\n",
    "ss.partition(2)\n",
    "#Compute the active variable values\n",
    "y = XX.dot(ss.W1)\n",
    "\n",
    "#Plot eigenvectors, sufficient summaries\n",
    "ac.utils.plotters.eigenvectors(ss.W1, in_labels=in_labels)\n",
    "ac.utils.plotters.sufficient_summary(y, f)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
